Question

Four rubber tubes are respectively filled with ${H_2},{\text{ }}{O_2},{\text{ }}{N_2}$ and He. The tube which will be required to be re-inflated first is
A.${H_2}$ - filled tube
B.${O_2}$ - filled tube
C.${N_2}$ - filled tube
D.He - filled tube

Answer 1

The rate of diffusion is inversely proportional to the square root of molar mass. R proportional root M1. Also, Lower the density of the gas, faster it will be filled. Now, we will see which among the all options has the minimum molar mass, that will be our answer.

Complete step by step answer:
Here we use the concept of Graham's Law of diffusion. According to this theory, at constant temperature the rates of effusion or pressure diffusion for gaseous substances and all non-reactive gases are inversely proportional to square root of their density or molar mass.
For example: $\dfrac{{{r_1}}}{{{r_2}}} = v\left( {\dfrac{{{M_2}}}{{{M_1}}}} \right)$
It means gas of higher molar mass, lesser the rate of diffusion.
Here order of molar mass ${H_2} < {\text{ }}{N_2} < {\text{ }}{O_2} < {\text{ }}C{O_2}$ . So, order of the rate of diffusion, $C{O_2} < {\text{ }}{O_2} < {\text{ }}{N_2} < {\text{ }}{H_2}$
Thus, ${H_2}$ will be filled first.
Hydrogen is the chemical element with the symbol H and atomic number 1. It is the most abundant chemical substance in the universe, constituting roughly $75\%$ of all baryonic mass. Hydrogen filled tubes will be re-inflated first as the rate of diffusion of hydrogen is maximum. Now, we know that the molar mass of hydrogen is minimum among all others.

Therefore, the correct answer is option (A).

Note: Hydrogen (H), a colourless, odourless, tasteless, flammable gaseous substance that is the simplest member of the family of chemical elements. The hydrogen atom has a nucleus consisting of a proton bearing one unit of positive electrical charge; an electron, bearing one unit of negative electrical charge, is also associated with this nucleus.